Number of ballot sequences of length n having 9 largest parts.

Terms

a(0) =1a(1) =0a(2) =0a(3) =0a(4) =0a(5) =0a(6) =0a(7) =0a(8) =0a(9) =4862a(10) =16796a(11) =41990a(12) =90440a(13) =177650a(14) =326876a(15) =572033a(16) =961400a(17) =1562275a(18) =416782080a(19) =2904006105a(20) =20591110410a(21) =93272863125a(22) =429784750200